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Finding the Fourth Proportional to 3,953.85, 5,455.94 and 2,185.17

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Solution

The fourth proportional to 3,953.85, 5,455.94 and 2,185.17 is: 3,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.85 : 5,455.94 = 2,185.17 : x
  2. Step 2: Convert to fraction form
    3,953.85/5,455.94 = 2,185.17/x
  3. Step 3: Cross multiply
    3,953.85x = 5,455.94 × 2,185.17
  4. Step 4: Simplify right side
    3,953.85x = 11,922,145.48
  5. Step 5: Solve for x
    x = 11,922,145.48/3,953.85
  6. Step 6: Final answer
    x = 3,015.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.